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In a family of four children, what is the probability of having all boys? Assume a...
In a family of 3 children, assume that the probability of a boy birth is 1/2. The probability of no boy in the family is? In a family of 3 children, assume that the probability of a boy birth is 1/2. The expected number of boys born is?
Suppose that a family has 5 children. Also, suppose that the probability of having a girlis probability that the family has the following children. Find the Exactly 2 girls and 3 boys The probability is Type an integer or a simplified fraction.)
Suppose that a family has 5 children. Also, suppose that the probability of having a girlis probability that the family has the following children. Find the Exactly 2 girls and 3 boys The probability is Type an integer...
A young couple falls in love and decides to marry and start a family. Assume that with each birth, they are equally like to have a boy or girl child - and only one at a time (no twins or other multiple births). They decide to keep having children until they have one girl. 5. a. On average, how many children will be born to this family? b. If there are no girls in the first two births, what is...
Consider a family with eight children. Assuming that the sex each child is determined independently of the others and that each child is equally likely to be female or male, a. What is the probability that exactly four children are female? Hint: Use the binomial distribution. (10 points) b. What is the probability that at most seven children are female? Hint: What is the complement of this event? (10 points)c. Find the conditional probability that the first two children born are female...
A couple is planning on having three children. You may assume that one child is born at a time (no twins or triplets), that each child was born two years apart from one another, and that it is equally likely for the couple to have a boy or a girl. Construct a tree diagram and show the sample space. a) What is the probability that the oldest child is a girl and the two younger children are boys? b) What...
A family has three children. Every child was born to be a boy or girl with 50% chance. The probability of this family having at least one boy is?
A family has five children. The probability of having a girl is 1/2. What is the probability of having no more than 3 boys?
if boys and girls are equally likely to be born what is the probability of a randomly selected family of 5 children having exactly 2 boys. Use the binomial probability function to find the answer.
A family has three children. what is the probability that they do not have only boys or girls? A) 1/8 B)3/4 C)7/8
2. Suppose that a family is going to keep having children until they have at least one girl. Further suppose we can model successive births as boy and one independent trials with p P(girl) and P(boy) = 1 - p. Let Y denote the total number of children in the family. Compute, for y 2, (i) the probability that the first boy born is the y-th child born; [2] (ii the probability that the first girl born is the y-th...